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13300133300322 = 23112921012372437
BaseRepresentation
bin1100000110001010110110…
…1110001000100001100010
31202002110222011020220200120
43001202231232020201202
53220402133111102242
644141555154501110
72541621462511521
oct301425556104142
952073864226616
1013300133300322
114268611572550
1215a97a3894796
137562742b9a4b
1433da30b464b8
15180e788c71ec
hexc18adb88862

13300133300322 has 96 divisors (see below), whose sum is σ = 30351187698624. Its totient is φ = 3852836064000.

The previous prime is 13300133300317. The next prime is 13300133300323. The reversal of 13300133300322 is 22300333100331.

It is a junction number, because it is equal to n+sod(n) for n = 13300133300292 and 13300133300301.

It is not an unprimeable number, because it can be changed into a prime (13300133300323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4419888 + ... + 6792324.

It is an arithmetic number, because the mean of its divisors is an integer number (316158205194).

Almost surely, 213300133300322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300133300322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175593849312).

13300133300322 is an abundant number, since it is smaller than the sum of its proper divisors (17051054398302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13300133300322 is a wasteful number, since it uses less digits than its factorization.

13300133300322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372612 (or 2372583 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13300133300322 its reverse (22300333100331), we get a palindrome (35600466400653).

The spelling of 13300133300322 in words is "thirteen trillion, three hundred billion, one hundred thirty-three million, three hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 174 202 303 319 606 638 841 957 1111 1682 1914 2222 2523 2929 3333 5046 5858 6666 8787 9251 17574 18502 27753 32219 55506 64438 84941 96657 169882 193314 254823 509646 934351 1868702 2372437 2803053 4744874 5606106 7117311 14234622 26096807 52193614 68800673 78290421 137601346 156580842 206402019 239616137 412804038 479232274 718848411 756807403 1437696822 1513614806 1995219517 2270422209 2635777507 3990439034 4540844418 5271555014 5985658551 6948867973 7907332521 11971317102 13897735946 15814665042 20846603919 21947414687 41693207838 43894829374 65842244061 76437547703 131684488122 152875095406 201517171217 229312643109 403034342434 458625286218 604551513651 1209103027302 2216688883387 4433377766774 6650066650161 13300133300322